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Vol. 32 No. 2 (2022)
Vol. 32 No. 2 (2022)
Articles
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs
Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma
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307095
3600
Pages:299-335
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations
Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao
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303796
3475
Pages:336-363
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws
Jiayin Li, Chi-Wang Shu, Jianxian Qiu
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302996
3331
Pages:364-400
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow
Xiaodong Feng, Li Zeng, Tao Zhou
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308875
3566
Pages:401-423
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites
Zihao Yang, Shaoqi Zheng, Fei Han, Shangkun Shen, Xiaofei Guan
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303232
3411
Pages:424-449
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications
Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi
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302167
3343
Pages:450-489
A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity
Xucheng Meng, Guanghui Hu
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303103
3822
Pages:490-523
Open-access
A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves
Yingxia Xi, Xia Ji
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301672
3339
Pages:524-546
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field
Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai
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301354
3352
Pages:547-582
Modeling of Bound Electron Effects in Particle-in-Cell Simulation
Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang
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299836
3170
Pages:583-594